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Twelve cells, each having an e.m.f of \( \mathrm{E} \)
volt are connected in series and are
kept in a closed box. Some of these cells
are wrongly connected with positive and negative terminals reversed. This 12 cell battery is connected in series with
an ammeter, an external resistance \( \mathrm{R} \)
ohms and a two-cell battery (two cells of the same type used earlier, connected perfectly in series). The current in the
circuit when the 12 -cell battery and 2 cell battery aid each other is \( 3 A \) and is
2A when they oppose each other. Then the number of cells in 12-cells
battery that are connected wrongly is:
A . 14
B. 3
\( c \cdot 2 \)
D.
| 3 |
Physics
|
Bones become fragile due to
A. Arthritis
B. osteoporosis
\( c . \) Gout
D. None of the above
| 0 |
Biology
|
One megawatt is equivalent to
A \( \cdot 10^{2} W \)
B . \( 10^{6} W \)
\( \mathbf{c} \cdot 10^{4} W \)
D. \( 10^{8} W \)
| 3 |
Physics
|
Let \( \bar{a}, \bar{b}, \bar{c} \) be vectors of length 3,4,5
respectively. Let \( \bar{a} \) be perpendicular to \( \bar{b}+\bar{c}, \bar{b} \) is perpendicular to \( \bar{c}+\bar{a} \& \bar{c} \) is
perpendicular to \( \bar{a}+\bar{b} \). Then \( |\bar{a}+\bar{b}+\bar{c}| \)
is:
A \( .2 \sqrt{5} \)
B. \( 2 \sqrt{2} \)
c. \( 10 \sqrt{5} \)
D. \( 5 \sqrt{2} \)
| 2 |
Maths
|
If \( f(2)=4 \) and \( f^{\prime}(2)=1, \) then \( \lim _{x \rightarrow 2} \frac{x f(2)-2 f(x)}{x-2} \) equal to
A .2
B. -2
\( c \cdot 1 \)
D. 3
| 2 |
Maths
|
From a uniform disc of radius \( R, \) a
circular disc of radius \( \boldsymbol{R} / 2 \) is cut out. The centre of the hole is at \( R / 2 \) from the centre of the original disc. Locate the centre of gravity of the resultant flat body.
A \( \cdot \frac{R}{6} \) from the centre
в. \( \frac{R}{15} \) from the centre
c. \( -\frac{R}{5} \) from the centre
D. \( \frac{R}{20} \) from the centre
| 3 |
Physics
|
If \( a, b, c \) are in A.P. then \( \frac{a-b}{b-c} \) is equal to
A \( \cdot \frac{a}{b} \)
B. \( \frac{b}{c} \)
\( c \cdot \frac{a}{c} \)
D.
| 2 |
Maths
|
In the circuit shown in figure, ammeter
and voltmeter are ideal. If \( \boldsymbol{E}=\mathbf{4} \boldsymbol{V}, \boldsymbol{R}= \)
\( 9 \Omega \) and \( r=1 \Omega, \) then readings of
ammeter and voltmeter are
This question has multiple correct options
A \( \cdot A_{m}=1 A \)
B . \( A_{m}=2 A \)
c. \( V_{m}=3 V \)
D. \( V_{m}=4 V \)
| 3 |
Physics
|
For the function \( f(x)=x \cos \frac{1}{x}, x \geq 1 \)
which of the following is/are true??
This question has multiple correct options
A. There is at least one \( x \) in the interval \( [1, \infty) \) for which \( f(x+2)-f(x)<2 \)
\( \mathbf{B} \cdot \lim _{x \rightarrow \infty} f^{\prime}(x)=1 \)
C \( . f(x+2)-f(x)>2 \) for all \( x \) in the interval \( [1, \infty) \)
D. \( f^{\prime}(x) \) is strictly decreasing in the interval \( [1, \infty) \)
| 2 |
Maths
|
Which one of the following elements show different oxidation states?
A. Sodium
B. Fluorine
c. chlorine
D. Potassium
| 1 |
Chemistry
|
Trimerous condition of floral whorls is
characteristic of
| 0 |
Biology
|
A closed vessel contains some gas at
atmospheric pressure and room
temperature. It is then given a high speed
by placing it in a fast moving train. The
temperature of the gas
A. will increase
B. will decrease
c. will remain uncharged
D. increase or decrease depending on the chemical composition of gas
| 3 |
Physics
|
The rate of reaction is uniform
throughout the reaction.
A. True
B. False
| 1 |
Chemistry
|
The process of taking in \( C O_{2} \) by plants
and releasing \( O_{2} \) is component of
A. Transpiration
B. Respiration
c. Endosmosis
D. Photosynthesis
| 0 |
Biology
|
toppr 5
Q Type your question
\( A \)
\( B \)
\( c \)
\( D \)
| 1 |
Chemistry
|
If the median of the data \( 6,7, x- \)
\( 2, x, 18,21 \) written in ascending order is
16, then the variance of that data is
A \( \cdot 30 \frac{1}{5} \)
в. \( 31 \frac{1}{3} \)
c. \( _{32} \frac{1}{2} \)
D. \( 33 \frac{1}{3} \)
| 2 |
Maths
|
Net energy gain from malic acid and succinic acid are
Malic acid: 3
Succinic acid: 5
Justify the mentioned values.
| 0 |
Biology
|
Find the principle value of \( \tan ^{-1}(-\sqrt{3}) \)
\( \mathbf{A} \cdot \pi / 3 \)
в. \( -\pi / 3 \)
c. \( \pi / 6 \)
D. \( -\pi / 6 \)
| 2 |
Maths
|
\( A \) follows the first-order reaction.
\( (A) \longrightarrow \) product.
The concentration of \( A \) changes from \( 0 . \)
M to \( 0.025 \mathrm{M} \) in 40 minutes. Find the
rate of reaction of \( A \) when concentration
of \( A \) is \( 0.01 \mathrm{M} ? \)
A \( \cdot 3.47 \times 10^{-4} \mathrm{M} \min ^{-1} \)
В. \( 3.47 \times 10^{-5} \mathrm{M} \min ^{-1} \)
c. \( 1.73 \times 10^{-4} \mathrm{M} \min ^{-1} \)
D. \( 1.73 \times 10^{-3} \mathrm{M} \min ^{-1} \)
| 1 |
Chemistry
|
Which of the following is free of salts?
A. Distilled water
B. Sea water
c. tap water
D. All of the above
| 1 |
Chemistry
|
For a first order reaction, to obtain a
positive slope, we need to plot:
\( \{[A] \text { is the concentration of reactant } A\} \)
\( \mathbf{A} \cdot \log _{10}[A] \) vs \( t \)
B. \( -\log _{e}[A] \) vs t
\( \mathbf{C} \cdot \log _{10}[A] \) vs \( \log t \)
D. \( [A] \) vs t
| 1 |
Chemistry
|
Effect of the day length duration on plant development and flowering is
A. Chemtropism
B. Phototropism
c. Photoperiodism
D. Photonasty
| 0 |
Biology
|
The percentage of sunlight utilized for photosynthesis by higher plants is
A . \( 100 \% \)
B. \( 110 \% \)
c. \( 50 \% \)
D. 1 - 2 \%
| 0 |
Biology
|
Higher order \( (>3) \) reactions are rare due
to:
A. low probability of simultaneous collision of all the reacting species
B. increase in entropy and activation energy as more molecules are involved
C. shifting of equilibrium towards reactants due to elastic collisions
D. loss of active species on collision
| 1 |
Chemistry
|
The set of all points where \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \sqrt[3]{x^{2}|x|}-|x|-1 \) is not differentiable is
\( A \cdot\{0\} \)
B \( \cdot\{-1,0,1\} \)
\( \mathbf{c} \cdot\{0,1\} \)
D. None of these
| 2 |
Maths
|
The value of \( x \) satisfying the equation \( \tan ^{-1} x+\tan ^{-1}\left(\frac{2}{3}\right)=\tan ^{-1}\left(\frac{7}{4}\right) \)
equal to
\( A \cdot \frac{1}{2} \)
в. \( -\frac{1}{2} \)
\( c \cdot \frac{3}{2} \)
D. \( -\frac{1}{3} \)
E
| 2 |
Maths
|
A solution is obtained by mixing \( 200 g \) of \( 30 \% \) and \( 300 g \) of \( 20 \% \) solution by weight What is the percentage of solute in the
final solution?
A . \( 50 \% \)
B . 28\%
c. \( 64 \% \)
D. 24\%
| 1 |
Chemistry
|
\( \operatorname{Let}\left(\frac{2 x^{2}+x+2}{x}\right)^{n}=\sum_{r=m}^{r=t} a_{r} x^{r} \)
then answer the following:
\( f\left(a_{p}=a_{q} \text { then } p+q=\dots\right. \)
| 2 |
Maths
|
In square PQRS. if \( \mathrm{PQ}=3 x-7 \) and
\( Q R=x+3 ; \) find PS
\( A \cdot 6 \)
B. 7
\( c \cdot 8 \)
D. 5
| 2 |
Maths
|
What charge do group IV A atoms have when they become ions?
A. Either +4 or - 4 but they don't usually become ions.
B. +4
\( c \cdot-4 \)
\( D \cdot+3 \)
E. - -
| 1 |
Chemistry
|
Electric potential of uniformly charged solid sphere at its surface
A. increases with increase in radius
B. decreases with increase in radius
c. remains constant
D. none of the above
| 3 |
Physics
|
7 is a factor of \( 2^{3 n}-1 \) for all natural
numbers n.
A. True
B. False
| 2 |
Maths
|
The number of covalent bonds formed
by Be is:
| 1 |
Chemistry
|
If \( \int \frac{\sqrt{4+x^{2}}}{x^{6}} d x= \)
\( \frac{\left(a+x^{2}\right)^{3 / 2} \cdot\left(x^{2}-b\right)}{120 x^{5}}+C \) then \( a+b \)
equals to
| 2 |
Maths
|
What would be the length of a sec. A pendulum at a planet (where acc, due to gravity is \( g / 4 \) ) if it's length on earth is \( l \)
A \( . l / 2 \)
в. \( 2 l \)
\( c \cdot l / 4 \)
D. 4
| 3 |
Physics
|
A biased coin with probability \( \boldsymbol{p}, \boldsymbol{0}< \) \( p<1, \) of heads is tossed until a head
appears for the first time. If the probability that the number of tosses required is even is \( 2 / 5, \) then \( p=\dots \)
A. \( 2 / 5 \)
B. \( 2 / 3 \)
c. \( 1 / 3 \)
D. \( 3 / 5 \)
| 2 |
Maths
|
A diatomic molecule has a dipole moment equal to 1.2 D. If the bond length
is \( 1 A^{0}, \) what fraction of electronic
charge \( ^{\prime} e^{\prime} \) exists on each atom.
| 1 |
Chemistry
|
g of sodium hydroxide is present in 1 litre of \( 1 \mathrm{M} \) solution.
A . 20
B. 40
\( c .30 \)
D. 10
| 1 |
Chemistry
|
The first use of quantum theory to explain the structure of atom was made
by:
A. Heisenbergg
B. Bohr
c. Planck
D. Einstein
| 1 |
Chemistry
|
Objects fall towards the earth because the earth pulls those. This pull is called force.
A. contact
B. muscular
c. gravitational
D. electrostatic
| 3 |
Physics
|
Define thermoplastics and thermosetting polymers with two examples of each.
| 1 |
Chemistry
|
In the reaction series:
\( \boldsymbol{C}_{\boldsymbol{6}} \boldsymbol{H}_{\boldsymbol{5}} \boldsymbol{C l} \frac{\boldsymbol{N H}_{\boldsymbol{3}}}{\boldsymbol{C u _ { 2 } \boldsymbol { O } , \mathbf { 2 0 0 } ^ { \boldsymbol { o } } \boldsymbol { C }}} \boldsymbol{X} ; \boldsymbol{X} \frac{\boldsymbol{H} \boldsymbol{N O}_{2}}{\boldsymbol{0}-\boldsymbol{5}^{0} \boldsymbol{C}} \)
\( Z ; X+Z \rightarrow A, \) the number of \( \sigma \) and \( \pi \)
bonds in \( A \) are:
\( \mathbf{A} \cdot 25 \sigma \) and \( 6 \pi \)
B . 25 \( \sigma \) and \( 7 \pi \)
c. \( 27 \sigma \) and \( 7 \pi \)
D. \( 27 \sigma \) and \( 6 \pi \)
| 1 |
Chemistry
|
Calculate the wavelength and energy of radiation emitted for the electronic
transition from infinite to stationary
state of hydrogen atom. (Given, \( \boldsymbol{R}= \) \( \mathbf{1} . \mathbf{0} \mathbf{9 6 7} \mathbf{8} \times \mathbf{1 0}^{\mathbf{7}} \mathbf{m}^{-\mathbf{1}}, \mathbf{h}=\mathbf{6 . 6 2 5 6} \times \)
\( 10^{-34} J-s \) and \( c=2.9979 \times 10^{8} m s^{-1} \)
)
| 1 |
Chemistry
|
The age distribution of 400 persons in a colony having median age 32 is given below
\[
\begin{array}{llll}
\text { Age } \sin & 20- & 25- & 30- \\
\text { Years) } & 25 & 30 & 35
\end{array}
\]
Frequency
75
Then, \( (x-y) \) is :
A .10
в. 20
c. -10
D. - 20
| 2 |
Maths
|
What is the total emf, when three cells
of emfs \( 2 V, 2 V, 2 V \) connected in
parallel?
A . \( 4 v \)
B. 1V
c. \( 2 v \)
D. \( 5 v \)
| 3 |
Physics
|
Analgesics have pain killing effect when consumed, is a classification based on
A. the basis of pharmacological effect
B. the basis of drug action
c. the basis of chemical structure
D. the basis of molecular targets
| 1 |
Chemistry
|
Fungi show sexual reproduction by all of the following processes except
A. oospores
B. Ascospores
c. Basidiospores
D. Aplanospores
| 0 |
Biology
|
The sides of a triangle are \( 3 x+ \)
\( 4 y, 4 x+3 y \) and \( 5 x+5 y \) units, where
\( \boldsymbol{x}, \boldsymbol{y}>0 . \) The triangle is
A. right angled
B. equilateral
c. obtuse angled
D. none of these
| 2 |
Maths
|
During fractional evaporation of liquid air, nitrogen comes out as a fraction along with:
\( \mathbf{A} \cdot \mathrm{Ar}, \mathrm{Kr}, \mathrm{Xe} \)
B. Only Ar
c. He and Ne
D. Kr, Xe
| 1 |
Chemistry
|
which is free to rotate about the smooth
vertical hinge passing through the center and perpendicular to the plate, is lying on a smooth horizontal surface. A
particle of mass \( m \) moving with speed
\( u^{\prime} \) collides with the plate and sticks to
it as shown in figure. The angular velocity of the plate after collision will
be:
\( A \cdot \frac{12}{5} \)
B. \( \frac{12}{19} \)
c. \( \frac{3}{-} \underline{u} \)
\( 2 a \)
D. \( \frac{3}{5} \)
| 3 |
Physics
|
Is \( P C l_{3} \) soluble in water?
A. Not Soluble
B. May be
c. Partially soluble
D. soluble
| 1 |
Chemistry
|
The displacement of a particle performing linear S.H.M is given by \( \boldsymbol{x}= \) \( 6 \sin (3 \pi t-5 \pi / 6) \) metre. Find the time
at which the particle reaches the extreme position towards the left:
A. \( 5 / 9 \) secs
B . 4/9 secs
c. \( 1 / 9 \) secs
D. 7/9 secs
| 3 |
Physics
|
Solve the equation for \( x, y, z \) and \( t \) if \( \mathbf{2}\left[\begin{array}{ll}\boldsymbol{x} & \boldsymbol{z} \\ \boldsymbol{y} & \boldsymbol{t}\end{array}\right]+\mathbf{3}\left[\begin{array}{cc}\mathbf{1} & -\mathbf{1} \\ \mathbf{0} & \mathbf{2}\end{array}\right]=\mathbf{3}\left[\begin{array}{ll}\mathbf{3} & \mathbf{5} \\ \mathbf{4} & \mathbf{6}\end{array}\right] \)
| 2 |
Maths
|
Which of the following is not Lewis acid?
A. \( B F_{3} \)
в. \( A l C l_{3} \)
c. \( F e C l_{3} \)
D. \( P H_{3} \)
| 1 |
Chemistry
|
Simplify: \( \left(a^{2}-b^{2}\right)^{2} \)
| 2 |
Maths
|
Prove that if chords of congruent circles subtend equal angles at their centre, then the chords are equal.
| 2 |
Maths
|
Ptyalin enzyme is secreted by
A. Salivary glands
B. Mouth
c. oesophagus
D. Stomach
| 0 |
Biology
|
A ship is travelling due east according to
mariner's compass. If the declination at
that place is \( 20^{\circ} \) east, the actual direction
of its motion is
A \( \cdot 40^{\circ} \) south of east
B. \( 20^{\circ} \) south of east
C \( \cdot 5^{\circ} \) south of east
D. \( 20^{\circ} \) north of east
| 3 |
Physics
|
Calculate the heat energy released by water in the experiment in cooling from
\( 70^{\circ} \mathrm{C} \) to \( 45^{\circ} \)
| 3 |
Physics
|
Explain why \( N_{2} \) has greater bond
dissociation energy than \( N_{2}^{+} \) whereas
\( O_{2} \) has lesser bond dissociation energy
\( \operatorname{than} O_{2}^{+} \)
| 1 |
Chemistry
|
is not unisexual flower.
A. coconnut
в. Papaya a
c. Gulmohar
D. watermelon
| 0 |
Biology
|
Consider a system of three charges \( \frac{\mathbf{q}}{\mathbf{3}} \)
\( \frac{\mathbf{q}}{\mathbf{3}} \) and \( -\frac{\mathbf{2 q}}{\mathbf{3}} \) placed at points \( \mathbf{A}, \mathbf{B} \) and
C, respectively, as shown in the figure.
Take 0 to be the centre of the circle of
radius \( \mathbf{R} \) and angle \( \mathbf{C A B}=\mathbf{6 0}^{\mathbf{0}} \)
A \( \cdot \) The electric field at point \( \mathrm{O} \) is \( \frac{\mathrm{q}}{8 \pi \epsilon_{0} \mathrm{R}^{2}} \) directed along the negative x-axis
B. The potential energy of the system is zero
C. The magnitude of the force between the charges at \( C \) and \( \mathrm{B} \) is \( \frac{\mathrm{q}^{2}}{54 \pi \epsilon_{0} \mathrm{R}^{2}} \)
D. The potential at point \( \mathrm{O} \) is \( \frac{\mathrm{q}}{12 \pi \epsilon_{0} \mathrm{R}} \)
| 3 |
Physics
|
A uniform cylinder has a radius R and
length L. If the moment of inertia of this cylinder about an axis passing through its centre and normal to its circular
face is equal to the moment of the same cylinder about an axis passing through its centre and perpendicular to its length, then
A \( . L=R \)
B. \( L=\sqrt{3} R \)
c. \( L=\frac{R}{\sqrt{3}} \)
D. \( L=\sqrt{\frac{3}{2}} R \)
| 3 |
Physics
|
For which of the following events will the resulting products have more mass than the mass of the stuff from which
the products came?
A. Alpha decay
B. Beta decay
c. An exothermic nuclear reaction
D. An endothermic nuclear reaction
E. Nuclear fission of uranium -235
| 3 |
Physics
|
A \( 0.5 g \) sample of \( K H_{2} P O_{4} \) is titrated with \( 0.1 M \) NaOH.The volume of base
required to do this is \( 25.0 m l \) The
reaction is represented as:
\( \boldsymbol{H}_{2} \boldsymbol{P} \boldsymbol{O}_{4}^{-}+\boldsymbol{O} \boldsymbol{H}^{-} \rightarrow \boldsymbol{H} \boldsymbol{P} \boldsymbol{O}_{4}^{2-}+\boldsymbol{H}_{2} \boldsymbol{O} \)
The percentage purity of \( K H_{2} P O_{4} \) is \( (\boldsymbol{K}=\mathbf{3 9}, \boldsymbol{P}=\mathbf{3 1}) \)
A . \( 68 \% \)
B. 34\%
c. \( 85 \% \)
D. 51\%
| 1 |
Chemistry
|
Explain, why dogs pant during hot summer days using the concept of evaporation?
| 3 |
Physics
|
Find nth term of the
\( \boldsymbol{G} \cdot \boldsymbol{P} \cdot \sqrt{\boldsymbol{3}}, \frac{\mathbf{1}}{\sqrt{\mathbf{3}}}, \frac{1}{\mathbf{3} \sqrt{\mathbf{3}}}, \ldots \)
| 2 |
Maths
|
The equation of the plane which is equidistant from the two parallel planes \( 2 x-2 y+z+3=0 \) and \( 4 x-4 y+ \)
\( \mathbf{2} z+\mathbf{9}=\mathbf{0} \) is :
A. \( 8 x-8 y+2 z+15=0 \)
B. \( 8 x-8 y+4 z+15=0 \)
c. \( 8 x-8 y+4 z+3=0 \)
D. \( 8 x-8 y+4 z-3=0 \)
E \( .8 x-8 y+4 z+4=0 \)
| 2 |
Maths
|
A man of height \( 1.8 m \) is standing near a Pyramid. If the shadow of the man is of length \( 2.7 m \) and the shadow of the
Pyramid is \( 210 m \) long at that instant, find the height of the Pyramid
| 2 |
Maths
|
Statement I : An indicator will allow to
determine whether a solution is acidic
or basic.
Statement II : Indicator will change
colors in solutions with different pH.
A. Statement I is True, Statement II is True and statement I is correct explanation of statements
B. Statement lis True, Statement II is True and statement II is NOT correct explanation of statements
c. Statement lis True, Statement II is False
D. Statement I is False, Statement II is True
E. Statement lis False, Statement II is False
| 1 |
Chemistry
|
Which of the following is not artificial form of plastics?
A. Nylon
B. Teflon
c. Styrofoam
D. None of the above
| 3 |
Physics
|
Find the volume of a sphere whose
surface area is \( 154 \mathrm{cm}^{2} \)
| 2 |
Maths
|
Evaluate the given integral. \( \int x \cdot \sin ^{-1} x \)
| 2 |
Maths
|
\( \frac{3.24 \times 0.08666}{5.006} \)
| 1 |
Chemistry
|
\( _{1}^{2} \boldsymbol{H}+_{1}^{3} \boldsymbol{H} \rightarrow_{0}^{1} \boldsymbol{n}+\mathbf{X} \)
The product \( X \) in the nuclear reaction
represented is.
A \( \cdot \frac{1}{1} H \)
в. \( _{2}^{3} \mathrm{He} \)
\( \mathrm{c} \cdot_{2}^{4} \mathrm{He} \)
D. \( \frac{4}{3} L i \)
\( E \cdot_{3}^{5} L i \)
| 3 |
Physics
|
Two samples \( A \) and \( B \) of same radioactive nuclide are prepared Sample A has twice the initial activity of sample B. For this situation, mark out the correct statement(s):
This question has multiple correct options
A. The half-lives of both the samples would be same
B. The half-lives of the samples are different
C. After each has passed through 5 half-lives, the ratio of activity of A to B is 2:
D. After each has passed through 5 half-lives, ratio of activities of A to B is 64:
| 3 |
Physics
|
Two batteries of emf \( \boldsymbol{E}_{1} \) and \( \boldsymbol{E}_{2}\left(\boldsymbol{E}_{2}>\right. \)
\( E_{1} \) ) and internal resistance \( r_{1} \) and \( r_{2} \)
respectively are connected in parallel as shown in figure
| 3 |
Physics
|
If \( \boldsymbol{v}=\frac{\boldsymbol{A}}{\boldsymbol{t}}+\boldsymbol{B} \boldsymbol{t}^{2}+\boldsymbol{C} \boldsymbol{t}^{3} \) where \( \mathbf{v} \) is
velocity, t is time and \( A, B \) and \( C \) are constant then the dimensional formula
of B is?
\( \mathbf{A} \cdot\left[M^{0} L T^{0}\right] \)
\( \mathbf{B} \cdot\left[M L^{0} T^{0}\right] \)
\( \mathbf{c} \cdot\left[M^{0} L^{0} T\right] \)
\( \mathbf{D} \cdot\left[M^{0} L T^{-3}\right] \)
| 3 |
Physics
|
Evaluate \( \int_{0}^{1}\left(2 x^{2}+x+1\right) d x \)
| 2 |
Maths
|
Total world production of iron destroyed by rusting is about:
A . \( 10 \% \)
B. 50 \%
c. \( 15 \% \)
D. 40 \%
| 1 |
Chemistry
|
Assertion
Cell division is necessary because it is a physiological process bound to occur as a rule of nature.
Reason
Division of nucleus is followed by division of cytoplasm.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
| 0 |
Biology
|
Which is characteristic to a Lewis
base?
A. React with metal to produce hydrogen gas
B. Donate an unshared electron pair
C. Always contain the hydroxide ion in its structure
D. Taste sour
E. Formed by the reaction of a nonmetal oxide and water
| 1 |
Chemistry
|
Let \( z_{1} \) and \( z_{2} \) be roots of the equation
\( z^{2}+p z+q=0, \) where the coefficients
\( p \) and \( q \) may be complex numbers. Let \( A \)
and \( B \) represents \( z_{1} \) and \( z_{2} \) in the
complex plane. If \( \angle A O B=\alpha \neq 0 \) and
\( \boldsymbol{O} \boldsymbol{A}=\boldsymbol{O} \boldsymbol{B}, \) where \( \boldsymbol{O} \) is the origin, then
\( p^{2}=k \cos ^{2} \frac{\alpha}{2}, \) where \( k= \)
\( \mathbf{A} \cdot \boldsymbol{q} \)
B. \( 2 q \)
c. \( 4 q \)
D. None of these
| 2 |
Maths
|
For a cell reaction \( 2 H_{2}(g)+O_{2}(g) \longrightarrow \)
\( 2 H_{2} O(l) ; \triangle_{r} S_{298}^{\circ}=-0.32 k J / K . \) What
is the value of \( \triangle_{f} H_{298}^{\circ}\left(H_{2} O, l\right) ? \)
Given \( \quad O_{2}(g)+4 H^{+}(a q .)+4 e^{-} \longrightarrow \)
\( 2 H_{2} O(l) ; \quad E^{0}=1.23 V \)
A. \( -285.07 k J / \) mol
в. \( -570.14 \mathrm{kJ} / \mathrm{mol} \)
c. \( 285.07 k J / \) mol
D. None of these
| 1 |
Chemistry
|
In isosceles triangle \( \boldsymbol{A B C}, \boldsymbol{A B}=\boldsymbol{A C} \)
The side \( B A \) is produced to \( D \) such that
\( \boldsymbol{B A}=\boldsymbol{A D} \)
Hence, \( \angle B C D=90^{\circ} \)
If the above statement is true then
mention answer as 1 , else mention 0 if
false
| 2 |
Maths
|
Consider the above sequence and
answer the following
Conversion \( \left(\boldsymbol{C H}_{3}-\boldsymbol{C H}_{3} \Rightarrow \boldsymbol{C H}_{3}-\right. \)
\( \left.C H_{2}-O H\right) \Rightarrow \) alcohol is achieved by:
A. \( B r_{2} / h v, \) alc. KOH
в. \( B r_{2} / h v, \) ая.КОН
c. \( B r_{2} / C C L_{4}, L i A l H_{4} \)
D. \( B r_{2} / C C l_{4}, N a B H_{4} \)
| 1 |
Chemistry
|
The value of \( p \) for which the function
\[
\left\{\begin{array}{ccc}
\boldsymbol{f}(\boldsymbol{x})= & & \\
& \left(\boldsymbol{4}^{\boldsymbol{x}}-\mathbf{1}\right)^{\mathbf{3}} & \\
\hline \multirow{2}{*} {\sin \frac{\boldsymbol{x}}{\boldsymbol{p}} \log \left(1+\frac{\boldsymbol{x}^{2}}{\mathbf{3}}\right)} & ; & \boldsymbol{x} \neq \mathbf{0} \\
& \mathbf{1 2}(\log \mathbf{4})^{\mathbf{3}} & ; \boldsymbol{x}=\mathbf{0}
\end{array}\right.
\]
continuous at \( \boldsymbol{x}=\mathbf{0}, \) is
A . 4
B. 2
\( c .3 \)
\( D \)
| 2 |
Maths
|
In which part of atmosphere, ozone layer is present?
A. Stratosphere
B. Troposphere
c. Mesosphere
D. Thermosphere
| 1 |
Chemistry
|
A parallel plate capacitor is to be designed with a voltage rating \( 1 k V \) using a material of dielectric constant
10 and dielectric strength \( 10^{6} V m^{-1} \) What minimum area of the plates is required to have a capacitoance of \( 88.5 p F ? \)
| 3 |
Physics
|
Q Type your question
in \( \mathrm{H}_{2} \mathrm{O} \longrightarrow \)
\( A \)
B.
\( c \)
\( D \)
| 1 |
Chemistry
|
The position vector of the foci of an ellipse are \( \vec{b} \) and \( -\vec{b}, \) and the length of
major axis is \( 2 a \), then the equation of
ellipse
A \( \cdot a^{4}-a^{2}\left(\vec{r}^{2}+\vec{b}^{2}\right)+\left(\vec{b}^{2} \times \vec{r}^{2}\right)=0 \)
\( ^{\text {В }} a^{4}-a^{2}\left(|\vec{r}|^{2}+|\vec{b}|^{2}\right)+\left(|\vec{b}|^{2} \cdot \vec{r}^{2}\right)=0 \)
c. \( a^{4}+\vec{a}^{2}\left(\vec{r}^{2}+\vec{b}^{2}\right)+\left(\vec{b}^{2} \cdot \vec{r}^{2}\right)=0 \)
D・ \( a^{4}-a^{2}\left(\vec{r}^{2}-\vec{b}^{2}\right)+\left(\vec{b}^{2} \cdot \vec{r}^{2}\right)=0 \)
| 2 |
Maths
|
In which of the following, sulphur has the highest oxidation state?
This question has multiple correct options
\( A \cdot S O_{2} \)
в. \( S O_{3} \)
c. \( H_{2} S O_{4} \)
D. \( H_{2} S_{S} \)
| 1 |
Chemistry
|
Correct statement regarding the given
reaction is:
\( \mathbf{A} \cdot \mathbf{B} \) is 2,5 -dimethylfuran
B. B is homocyclic aromatic compound
C. A is pyran
D. none of these
| 1 |
Chemistry
|
\( \operatorname{Points} \boldsymbol{A}(\boldsymbol{3}, \boldsymbol{2}, \boldsymbol{4}), \boldsymbol{B}\left(\frac{\boldsymbol{3} \boldsymbol{3}}{\boldsymbol{5}}, \frac{\boldsymbol{2} \boldsymbol{8}}{\boldsymbol{5}}, \frac{\boldsymbol{3} \boldsymbol{8}}{\boldsymbol{5}}\right), \) and
\( C(9,8,10) \) are given. The ratio in which
\( B \) divides \( \overline{A C} \) is
A . 5: 3
B . 2: 1
c. 1: 3
D. 3: 2
| 2 |
Maths
|
What is the trajectory of the charged particle if the initial velocity of the
particle is perpendicular to the direction of the magnetic field?
| 3 |
Physics
|
Same amount of heat is supplied to two liquids \( A \) and \( B \). The liquid \( A \) shows a greater rise in temperature. What can
you say about the heat capacity of A as compared to that of B?
A. Heat capacity of A is more than that of B
B. Heat capacity of A is less than that of B
c. Heat capacity of A is same as that of B
D. can't say
| 3 |
Physics
|
The time period of a particle executing \( \mathrm{SHM} \) is \( \frac{2 \pi}{\omega} \) and its velocity at a distance
\( b \) from mean position is \( \sqrt{3} b \omega \). Its
amplitude is
\( A \cdot b \)
B. 2b
\( c \cdot 3 b \)
D. 46
| 3 |
Physics
|
A bus starts from rest and moves with a
uniform acceleration of \( 1 ~ m s^{-2} . A \) boy
10 \( m \) behind the bus at the start runs
at a constant speed and catches the
bus in \( 10 s . \) Speed of the boy is :
A \( \cdot 10 m s^{-1} \)
B. \( 1 m s^{-1} \)
\( \mathrm{c} \cdot 6 \mathrm{ms}^{-1} \)
D. \( 4 m s^{-1} \)
| 3 |
Physics
|
Find the equation of the circle whose two end points of the diameter are
(4,-2) and (-1,3)
| 2 |
Maths
|
Fill the blank.
\( \$ \$ 2\{\text { Ca }\}_{-}\{3\}\left\{\text { lleft }\left(P\{0\}_{-}\{4\} \mid \text { right }\right)\right. \)
3. \( \{2\}+6 \operatorname{si}\{0\}_{-}\{2\}+10 C \) lrightarrow \( \{P \)
\( -\{4\}+\mid \) text \( \{-\} \operatorname{casi}\{0\}_{-}\{3 \)
\( 3+10 \cos \$ \)
\( A \cdot 2 \)
B. 4
\( c .5 \)
D. 6
E . 8
| 1 |
Chemistry
|
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